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Two swimmers leave point A on one bank o...

Two swimmers leave point `A` on one bank of the river to reach point `B` lying right across on the other bank. One of them crosses the river along the straight line `AB` while the other swims at right angles to the stream and them walks the distance that he has been carried by the stream to get to point `B`. what was the velocity `v_(0)` of his walking if both swimmers reach the destination simultaneously? The stream velocity is `u` and `v` is the velocity of swimmer in still water.

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To solve the problem of the two swimmers reaching point B simultaneously, we can break down the solution into clear steps. ### Step-by-Step Solution: 1. **Define the Variables**: - Let \( u \) be the velocity of the stream. - Let \( v \) be the velocity of the swimmer in still water. - Let \( D \) be the width of the river (the distance from point A to point B directly across). ...
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Two swimmers leave point A on the bank of the river to reach point B lying right across on the other bank. One of them crosses the river along the straight line AB while the other swims at right angles to the stream and then walks the distance that he has been carried away by the stream to get to point B. What was the velocity u of his walking if both swimmers reached the destination simultaneously? The stream velocity v_0=2.0 km//hour and the velocity v^' of each swimmer with respect to water equals to 2.5km per hour.

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CP SINGH-RELATIVE MOTION-EXERCISE
  1. Two swimmers leave point A on one bank of the river to reach point B l...

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  2. A 120 m long train is moving in a direction with speed 20 m/s . A trai...

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  3. Two trains are moving with equal speed in opposite directions along tw...

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  4. A train of 150 m length is going toward north direction at a speed of ...

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  5. Two cars are moving in the same direction with the same speed 30 km//h...

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  6. An express train is moving with a velocity v1. Its driver finds anothe...

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  7. Two car A and B travelling in the same direction with velocities v1 an...

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  8. A ball A is thrown up vertically with a speed u and at the same instan...

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  9. A car 'A' moves due north at a speed of 40km//hr, while another 'B' mo...

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  10. A car A going north-east at 80km//h and another car B is going south-e...

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  11. Rain is falling vertically downward with velocity 4m//s. A man is movi...

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  12. Two boys are standing at the ends A and B of a ground, where AB=a. The...

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  13. A ship is travelling due east at a speed of 15 km//h. Find the speed ...

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  14. Three particles A, B and C are situated at the vertices of an equilate...

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  15. Four particles A, B, C and D are situated at the cornerst of a square ...

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  16. Six particles situated at the corners of a regular hexagon of side a m...

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  17. A particle A is at origin and particle B is at distance y=-d at t=0. T...

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  18. A police jeep is chasing with, velocity of 45 km//h a thief in another...

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  19. A cart is moving horizontally along a straight line with constant spee...

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  20. A boat is moving with a velocity 3 hat i+ 4hat j with respect to groun...

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  21. A boat crosses a river with a velocity of 8(km)/(h). If the resulting ...

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